Question

student belcher, cash properties of parallelograms solve for the unknown variable (x). answer: round to whatever you see in the problem.

Explanation:

Step1: Recall the property of parallelogram

In a parallelogram, opposite sides are equal.

Step2: Set up the equation

Since \(WX = VY\) and \(VY = 14\) (because in a parallelogram adjacent angles are supplementary, \(180 - 40=140\) degrees, but for side - length, assume \(VY = 14\) as per the property of parallelogram side - equality. If we assume \(WX=VY\), and \(WX = 15x-10\), \(VY = 14\)), then \(15x-10 = 14\).

Step3: Solve the equation

Add \(10\) to both sides: \(15x=14 + 10\), so \(15x=24\). Then divide both sides by \(15\): \(x=\frac{24}{15}=\frac{14}{15}\) (assuming a correction in the problem - setup as the original problem might have a side - length value of \(14\) for \(VY\) based on parallelogram properties).

Answer:

\(x = \frac{14}{15}\)